To find out the region for y ³ x + 3, first we find out that the orgin lies in the region represented by the graph or not.
We substitute the coordinates of the origin (0,0) in the given inequation,
y ³ x + 3, we get,
0 ³ 0 + 3
0 ³ 3, this is wrong.
The origin doew not lie in the half plane represented the graph.
Graph for y ³ x + 3, is

The boundary line y = x + 3 lies in the region represented by above graph. The boundary line is drawn as a dark line. The region indicated by the graph is shaded.